Mathematical Problems in Engineering / 2012 / Article / Tab 1 / Research Article
Four-Impulsive Rendezvous Maneuvers for Spacecrafts in Circular Orbits Using Genetic Algorithms Table 1 Rendezvous between coplanar circular orbits showing the values of the
Δ
𝑉
for each burn and the total expenditure
(
Δ
𝑉
𝑇
)
. The results for the Hohmann are included for comparison.
𝑛
∘
Simulation Cost using the genetic algorithm Hohmann transfer
Δ
𝑉
𝑇
−
Δ
𝑉
H
T
(
𝑟
𝑜
=
1
)
Δ
𝑉
1
Δ
𝑉
2
Δ
𝑉
3
Δ
𝑉
4
Δ
𝑉
𝑇
=
∑
4
𝑖
=
1
Δ
𝑉
𝑖
Δ
𝑉
H
T
=
∑
2
𝑖
=
1
Δ
𝑉
𝑖
1
𝑟
𝑓
=
1
.
2
0.104455 0.118925 0.159234 0.154917 0.537531 0.087000 0.450500 2
𝑟
𝑓
=
1
.
5
0.044987 0.118996 0.165893 0.189594 0.519469 0.181600 0.337900 3
𝑟
𝑓
=
1
.
6
0.028621 0.120939 0.163349 0.204023 0.516932 0.206600 0.310300 4
𝑟
𝑓
=
1
.
8
0.000000 0.131481 0.169234 0.225721 0.526435 0.249300 0.277100 5
𝑟
𝑓
=
1
.
9
0.000000 0.127047 0.178111 0.233180 0.538338 0.267700 0.270600 6
𝑟
𝑓
=
2
0.008136 0.117267 0.185660 0.242748 0.553811 0.284500 0.269300 7
𝑟
𝑓
=
2
.
5
0.134621 0.000000 0.222416 0.298130 0.655167 0.349600 0.205300 8
𝑟
𝑓
=
3
0.171286 0.000000 0.242839 0.369209 0.783334 0.393800 0.271100 9
𝑟
𝑓
=
5
0.172864 0.310322 0.000000 0.423150 0.906336 0.480000 0.426300 10
𝑟
𝑓
=
1
0
0.004673 0.000000 0.372418 0.311566 0.688657 0.499300 0.189400
